byGrace, J. H. (John Hilton), b. 1873; Young, Alfred, joint author
Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb. Topic: Invariants Source: http://books.google.com/books?id=YMWT7O0RMjoC&oe=UTF-8
Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb. Topics: Forms, Quadratic, Invariants Source: http://books.google.com/books?id=dmVLAAAAMAAJ&oe=UTF-8
byAmerican Mathematical Society. Colloquium (7th : 1913 : Madison, Wis.); Dickson, Leonard E. (Leonard Eugene), 1874-; Osgood, William F. (William Fogg), 1864-1943
The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions. Topics: Invariants, Number theory, Functions
The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions. Topics: Substitutions, Linear, Invariants, Bilinear forms
This paper presents a new supervised method for blood vessel detection in digital retinal images. This method uses a neural network scheme for pixel classification and computes a 7-D vector composed of gray-level and momentinvariants based features for pixel representation. The method was evaluated on the publicly available DRIVE and STARE databases, widely used for this purpose, since they contain retinal images where the vascular structure, vessel endothelium and fund us features has been... Topics: Diabetic Retinopathy, Moment Invariants, Vessel Segmentation
Pathway invariants and other evidence led to the conclusion that poly(triose-phosphate) replication preceded appearance of RNA. Macromolecular replication and the pathways of central metabolism thus evolved simultaneously. These findings offer a resolution of a long-standing issue regarding prebiotic evolution and a new paradigm for explaining the origin of life. Topics: Pathway invariants, double-stranded Poly(Triose-phosphate)
This article is based on the Agent-action-Objective AaO-axiom and assumes that intention can be discovered and made evident. But this requirement can be satisfied only under the condition that a particular individual can be identified with his style of writing. This implies that the nature of writing becomes approachable. Getting a style under control presupposes the A-component, which is discussed with a focus on string rotation and the establishment of lawful relations that include intention... Topics: space hypothesis, AaO axiom, mirror strategy, topological invariants, uniqueness, comprehension,...
An organizing principle is proposed for the emergence of life from elementary molecules on the early Earth. It is based on the evolution of a multi-reaction system, with a shared reactant, toward the autocatalytic reaction that maximally damps the physicochemical forces driving evolution. Pathway invariants and other evidence suggest a series of interlinked and increasingly complex replication cycles evolved from the spontaneously autocatalytic formose cycle. The first protocells, covered by a... Topics: physicochemical forces, autocatalysis, pathway invariants, pre-RNA replication, PTP sheets,...
The present discussion is meant to serve the explanation of significant novelties, resulting from a search through the holophors of Swedish, English, German, Danish, French, and Italian text productions. Holophors have the capacity to enhance the fundamental relation between ideas and motifs through the explicitness of the functional state-termini relations. It follows that their common causal determination can be treated as the efficient definition of adaptation and consequently translational... Topics: Emergent themes, emergent motifs, transformations on information invariants, structural stability,...
For the first time in the history of psychological and educational measurement the Kantian schema has been applied to natural language expression in a rigorous and precise way. The crucial novelty of the approach concerns the way in which the Kantian schema interrelates the analytic with the synthetic mode in the construction of the presented formalism. The main thesis advanced is based on the premise that the synthetic in contrast to the analytic proposition plays the central role in the... Topics: measuring, change, Kant, AaO system, expression, consciousness, carrier, language, dance, language,...
byI.C. Baianu, Ph.D., with Prof. Ronald Brown and Prof. James F. Glazebrook
Abstract: A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item's essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the... Topic: Categorical ontology and the theory of levels,formal foundation and relational structure of...
byI. C. Baianu, Ronald Brown and James F. Glazebrook
A Monograph Published in: Acta Universitatis Apulensis,ISSN 1582-5329, 2011: 10 (6)-175-298'Special Issue on Understanding Complex Systems,Eds. Barna Iantovics, Ladislav HluchÂ¶y and Roumen Kountchev. Abstract. In this monograph we present a novel approach to the problems raised by higher complexity in both nature and the human society, by considering the most complex levels of objective existence as ontological meta-levels, such as those present in the creative human minds and civilised,... Topics: Categorical Ontology and the Theory of Levels (COTL), meta-levels, Non- Abelian Categorical...
byI.C. Baianu, Ronald Brown and James F. Glazebrook
A non-Abelian, Universal SpaceTime Ontology is introduced in terms of categories, functors, natural transformations, Higher Dimensional Algebra and the Ontological Theory of Reality Levels. A paradigm shift towards non-commutative spacetime structures with remarkable asymmetries or broken symmetries, such as the CPT-symmetry violation, is proposed. This has the potential for novel applications of Higher Dimensional Algebra to spacetime structure determination in terms of universal, topological... Topics: universal spacetime Ontology, Categorical Ontology-Theory of Reality Levels, Non-Abelian Ontology,...
Concise tutorial on the fundamentals of ultra-complexity theory. Emergence of Life, Human consciousness and human societies. Abstract: The task of developing novel and improved methodological tools for a categorical ontology of complex spacetime structures and the ontological theory of levels is here considered from several perspectives including both the quantum-molecular and complex-relational ones. Our novel conceptual framework is aimed at helping both philosophers and natural scientists to... Topics: emergence of Life, Human Consciousness, Human Society, Categorical Ontology of Ultra-complex...